On Some Unification Theorems: Yang–Baxter Systems; Johnson–Tzitzeica Theorem
Year: 2025
Type: article
Abstract: The Yang–Baxter equation emerged from a theoretical physics article written by the Nobel laureate C.N. Yang and from statistical mechanics work of R.J. Baxter. Attempts to unify the algebra structures and the coalgebra structures have eventually led to new solutions of the Yang-Baxter equation. But, in order to capture the information encapsulated in modules over algebras and comodules over coalgebras, we will need some kind of extensions of the Yang-Baxter equation, called Yang-Baxter systems. Also, the Tzitzeica-Johnson theorem is generalized in the curent paper.
Source: Axioms
Author: Florin Felix Nichita
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W4407808319